Question
office max is offering a $40 rebate on all color printers. Sara is looking at a few different color printers that range in price from $165 to $295. How much can she plan to pay after the rebate? form a compound inequality to represent this problem and solve.
Answers
GPT 3.5
Let's represent the price of the color printers with the variable "x".
The compound inequality that represents the problem is: $165 \le x \le 295.
After applying the $40 rebate, the new price would be: x - 40.
So, the compound inequality for the price after the rebate is: $165 - 40 \le x - 40 \le 295 - 40.
Simplifying this inequality: $125 \le x - 40 \le 255.
To find the range of prices after the rebate, we can add 40 to each part of the compound inequality:
125 + 40 ≤ x - 40 + 40 ≤ 255 + 40,
165 ≤ x ≤ 295.
Therefore, Sara can expect to pay between $165 and $295 after the rebate.
The compound inequality that represents the problem is: $165 \le x \le 295.
After applying the $40 rebate, the new price would be: x - 40.
So, the compound inequality for the price after the rebate is: $165 - 40 \le x - 40 \le 295 - 40.
Simplifying this inequality: $125 \le x - 40 \le 255.
To find the range of prices after the rebate, we can add 40 to each part of the compound inequality:
125 + 40 ≤ x - 40 + 40 ≤ 255 + 40,
165 ≤ x ≤ 295.
Therefore, Sara can expect to pay between $165 and $295 after the rebate.